Properties

Label 43.4.g.a.9.4
Level 43
Weight 4
Character 43.9
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.4
Character \(\chi\) \(=\) 43.9
Dual form 43.4.g.a.24.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.62068 - 2.03226i) q^{2} +(-6.93204 - 1.04484i) q^{3} +(0.276661 - 1.21213i) q^{4} +(6.69761 + 4.56636i) q^{5} +(9.11121 + 15.7811i) q^{6} +(-16.5418 + 28.6512i) q^{7} +(-21.6473 + 10.4248i) q^{8} +(21.1610 + 6.52730i) q^{9} +O(q^{10})\) \(q+(-1.62068 - 2.03226i) q^{2} +(-6.93204 - 1.04484i) q^{3} +(0.276661 - 1.21213i) q^{4} +(6.69761 + 4.56636i) q^{5} +(9.11121 + 15.7811i) q^{6} +(-16.5418 + 28.6512i) q^{7} +(-21.6473 + 10.4248i) q^{8} +(21.1610 + 6.52730i) q^{9} +(-1.57463 - 21.0119i) q^{10} +(0.540068 + 2.36619i) q^{11} +(-3.18431 + 8.11348i) q^{12} +(4.87033 - 64.9901i) q^{13} +(85.0358 - 12.8171i) q^{14} +(-41.6570 - 38.6521i) q^{15} +(47.3079 + 22.7823i) q^{16} +(-78.9585 + 53.8330i) q^{17} +(-21.0299 - 53.5834i) q^{18} +(-98.5398 + 30.3955i) q^{19} +(7.38800 - 6.85506i) q^{20} +(144.604 - 181.328i) q^{21} +(3.93345 - 4.93239i) q^{22} +(-71.4375 + 66.2843i) q^{23} +(160.952 - 49.6472i) q^{24} +(-21.6612 - 55.1918i) q^{25} +(-139.970 + 95.4301i) q^{26} +(30.6658 + 14.7679i) q^{27} +(30.1526 + 27.9775i) q^{28} +(5.06972 - 0.764137i) q^{29} +(-11.0387 + 147.301i) q^{30} +(41.3729 - 105.416i) q^{31} +(12.4004 + 54.3298i) q^{32} +(-1.27149 - 16.9668i) q^{33} +(237.369 + 73.2187i) q^{34} +(-241.622 + 116.359i) q^{35} +(13.7664 - 23.8441i) q^{36} +(-145.884 - 252.679i) q^{37} +(221.473 + 150.998i) q^{38} +(-101.665 + 445.425i) q^{39} +(-192.589 - 29.0281i) q^{40} +(136.332 + 170.955i) q^{41} -602.863 q^{42} +(259.101 - 111.238i) q^{43} +3.01755 q^{44} +(111.922 + 140.346i) q^{45} +(250.484 + 37.7544i) q^{46} +(-26.9107 + 117.903i) q^{47} +(-304.136 - 207.356i) q^{48} +(-375.762 - 650.840i) q^{49} +(-77.0586 + 133.469i) q^{50} +(603.590 - 290.674i) q^{51} +(-77.4291 - 23.8837i) q^{52} +(25.3723 + 338.570i) q^{53} +(-19.6871 - 86.2550i) q^{54} +(-7.18771 + 18.3140i) q^{55} +(59.4022 - 792.668i) q^{56} +(714.840 - 107.745i) q^{57} +(-9.76930 - 9.06459i) q^{58} +(-17.3697 - 8.36480i) q^{59} +(-58.3763 + 39.8003i) q^{60} +(184.779 + 470.809i) q^{61} +(-281.286 + 86.7653i) q^{62} +(-537.056 + 498.315i) q^{63} +(352.220 - 441.670i) q^{64} +(329.387 - 413.039i) q^{65} +(-32.4204 + 30.0817i) q^{66} +(-371.467 + 114.582i) q^{67} +(43.4080 + 110.602i) q^{68} +(564.464 - 384.845i) q^{69} +(628.065 + 302.460i) q^{70} +(-638.188 - 592.152i) q^{71} +(-526.124 + 79.3005i) q^{72} +(-34.5382 + 460.880i) q^{73} +(-277.079 + 705.987i) q^{74} +(92.4898 + 405.224i) q^{75} +(9.58123 + 127.853i) q^{76} +(-76.7280 - 23.6675i) q^{77} +(1069.99 - 515.279i) q^{78} +(7.37712 - 12.7776i) q^{79} +(212.818 + 368.611i) q^{80} +(-691.163 - 471.227i) q^{81} +(126.475 - 554.125i) q^{82} +(-712.206 - 107.348i) q^{83} +(-179.787 - 225.446i) q^{84} -774.655 q^{85} +(-645.983 - 346.281i) q^{86} -35.9419 q^{87} +(-36.3581 - 45.5916i) q^{88} +(481.831 + 72.6243i) q^{89} +(103.830 - 454.911i) q^{90} +(1781.48 + 1214.59i) q^{91} +(60.5814 + 104.930i) q^{92} +(-396.941 + 687.522i) q^{93} +(283.225 - 136.394i) q^{94} +(-798.779 - 246.391i) q^{95} +(-29.1944 - 389.572i) q^{96} +(89.0840 + 390.302i) q^{97} +(-713.689 + 1818.45i) q^{98} +(-4.01648 + 53.5961i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.62068 2.03226i −0.572996 0.718514i 0.407905 0.913025i \(-0.366260\pi\)
−0.980900 + 0.194510i \(0.937688\pi\)
\(3\) −6.93204 1.04484i −1.33407 0.201079i −0.557011 0.830505i \(-0.688052\pi\)
−0.777060 + 0.629426i \(0.783290\pi\)
\(4\) 0.276661 1.21213i 0.0345827 0.151517i
\(5\) 6.69761 + 4.56636i 0.599053 + 0.408427i 0.824528 0.565822i \(-0.191441\pi\)
−0.225475 + 0.974249i \(0.572393\pi\)
\(6\) 9.11121 + 15.7811i 0.619939 + 1.07377i
\(7\) −16.5418 + 28.6512i −0.893173 + 1.54702i −0.0571241 + 0.998367i \(0.518193\pi\)
−0.836049 + 0.548654i \(0.815140\pi\)
\(8\) −21.6473 + 10.4248i −0.956686 + 0.460716i
\(9\) 21.1610 + 6.52730i 0.783740 + 0.241752i
\(10\) −1.57463 21.0119i −0.0497940 0.664455i
\(11\) 0.540068 + 2.36619i 0.0148033 + 0.0648576i 0.981790 0.189969i \(-0.0608387\pi\)
−0.966987 + 0.254827i \(0.917982\pi\)
\(12\) −3.18431 + 8.11348i −0.0766025 + 0.195180i
\(13\) 4.87033 64.9901i 0.103907 1.38654i −0.664840 0.746985i \(-0.731500\pi\)
0.768747 0.639553i \(-0.220881\pi\)
\(14\) 85.0358 12.8171i 1.62334 0.244679i
\(15\) −41.6570 38.6521i −0.717053 0.665328i
\(16\) 47.3079 + 22.7823i 0.739185 + 0.355973i
\(17\) −78.9585 + 53.8330i −1.12649 + 0.768025i −0.975388 0.220494i \(-0.929233\pi\)
−0.151097 + 0.988519i \(0.548281\pi\)
\(18\) −21.0299 53.5834i −0.275378 0.701651i
\(19\) −98.5398 + 30.3955i −1.18982 + 0.367011i −0.825575 0.564292i \(-0.809149\pi\)
−0.364245 + 0.931303i \(0.618673\pi\)
\(20\) 7.38800 6.85506i 0.0826003 0.0766419i
\(21\) 144.604 181.328i 1.50263 1.88424i
\(22\) 3.93345 4.93239i 0.0381189 0.0477995i
\(23\) −71.4375 + 66.2843i −0.647641 + 0.600923i −0.934032 0.357190i \(-0.883735\pi\)
0.286391 + 0.958113i \(0.407544\pi\)
\(24\) 160.952 49.6472i 1.36893 0.422258i
\(25\) −21.6612 55.1918i −0.173290 0.441535i
\(26\) −139.970 + 95.4301i −1.05579 + 0.719822i
\(27\) 30.6658 + 14.7679i 0.218579 + 0.105262i
\(28\) 30.1526 + 27.9775i 0.203511 + 0.188831i
\(29\) 5.06972 0.764137i 0.0324628 0.00489299i −0.132791 0.991144i \(-0.542394\pi\)
0.165254 + 0.986251i \(0.447156\pi\)
\(30\) −11.0387 + 147.301i −0.0671791 + 0.896443i
\(31\) 41.3729 105.416i 0.239703 0.610753i −0.759507 0.650499i \(-0.774560\pi\)
0.999210 + 0.0397463i \(0.0126550\pi\)
\(32\) 12.4004 + 54.3298i 0.0685032 + 0.300132i
\(33\) −1.27149 16.9668i −0.00670720 0.0895013i
\(34\) 237.369 + 73.2187i 1.19731 + 0.369321i
\(35\) −241.622 + 116.359i −1.16690 + 0.561951i
\(36\) 13.7664 23.8441i 0.0637332 0.110389i
\(37\) −145.884 252.679i −0.648195 1.12271i −0.983554 0.180617i \(-0.942191\pi\)
0.335358 0.942091i \(-0.391143\pi\)
\(38\) 221.473 + 150.998i 0.945465 + 0.644607i
\(39\) −101.665 + 445.425i −0.417422 + 1.82885i
\(40\) −192.589 29.0281i −0.761274 0.114744i
\(41\) 136.332 + 170.955i 0.519304 + 0.651187i 0.970461 0.241258i \(-0.0775600\pi\)
−0.451157 + 0.892445i \(0.648989\pi\)
\(42\) −602.863 −2.21485
\(43\) 259.101 111.238i 0.918895 0.394502i
\(44\) 3.01755 0.0103389
\(45\) 111.922 + 140.346i 0.370764 + 0.464923i
\(46\) 250.484 + 37.7544i 0.802868 + 0.121013i
\(47\) −26.9107 + 117.903i −0.0835176 + 0.365915i −0.999366 0.0356103i \(-0.988663\pi\)
0.915848 + 0.401525i \(0.131520\pi\)
\(48\) −304.136 207.356i −0.914547 0.623528i
\(49\) −375.762 650.840i −1.09552 1.89749i
\(50\) −77.0586 + 133.469i −0.217955 + 0.377509i
\(51\) 603.590 290.674i 1.65725 0.798087i
\(52\) −77.4291 23.8837i −0.206490 0.0636938i
\(53\) 25.3723 + 338.570i 0.0657576 + 0.877474i 0.928382 + 0.371628i \(0.121200\pi\)
−0.862624 + 0.505846i \(0.831181\pi\)
\(54\) −19.6871 86.2550i −0.0496126 0.217367i
\(55\) −7.18771 + 18.3140i −0.0176216 + 0.0448992i
\(56\) 59.4022 792.668i 0.141749 1.89151i
\(57\) 714.840 107.745i 1.66110 0.250371i
\(58\) −9.76930 9.06459i −0.0221168 0.0205214i
\(59\) −17.3697 8.36480i −0.0383278 0.0184577i 0.414622 0.909994i \(-0.363914\pi\)
−0.452949 + 0.891536i \(0.649628\pi\)
\(60\) −58.3763 + 39.8003i −0.125606 + 0.0856366i
\(61\) 184.779 + 470.809i 0.387845 + 0.988212i 0.982836 + 0.184480i \(0.0590601\pi\)
−0.594992 + 0.803732i \(0.702845\pi\)
\(62\) −281.286 + 86.7653i −0.576183 + 0.177729i
\(63\) −537.056 + 498.315i −1.07401 + 0.996537i
\(64\) 352.220 441.670i 0.687929 0.862636i
\(65\) 329.387 413.039i 0.628546 0.788171i
\(66\) −32.4204 + 30.0817i −0.0604648 + 0.0561031i
\(67\) −371.467 + 114.582i −0.677342 + 0.208932i −0.614293 0.789078i \(-0.710559\pi\)
−0.0630489 + 0.998010i \(0.520082\pi\)
\(68\) 43.4080 + 110.602i 0.0774116 + 0.197242i
\(69\) 564.464 384.845i 0.984832 0.671447i
\(70\) 628.065 + 302.460i 1.07240 + 0.516441i
\(71\) −638.188 592.152i −1.06675 0.989796i −0.0667780 0.997768i \(-0.521272\pi\)
−0.999968 + 0.00797205i \(0.997462\pi\)
\(72\) −526.124 + 79.3005i −0.861172 + 0.129801i
\(73\) −34.5382 + 460.880i −0.0553752 + 0.738931i 0.898547 + 0.438877i \(0.144624\pi\)
−0.953922 + 0.300054i \(0.902995\pi\)
\(74\) −277.079 + 705.987i −0.435268 + 1.10904i
\(75\) 92.4898 + 405.224i 0.142397 + 0.623883i
\(76\) 9.58123 + 127.853i 0.0144611 + 0.192970i
\(77\) −76.7280 23.6675i −0.113558 0.0350280i
\(78\) 1069.99 515.279i 1.55323 0.747998i
\(79\) 7.37712 12.7776i 0.0105062 0.0181973i −0.860724 0.509071i \(-0.829989\pi\)
0.871231 + 0.490874i \(0.163322\pi\)
\(80\) 212.818 + 368.611i 0.297422 + 0.515150i
\(81\) −691.163 471.227i −0.948097 0.646402i
\(82\) 126.475 554.125i 0.170328 0.746255i
\(83\) −712.206 107.348i −0.941864 0.141963i −0.339878 0.940470i \(-0.610386\pi\)
−0.601986 + 0.798506i \(0.705624\pi\)
\(84\) −179.787 225.446i −0.233528 0.292835i
\(85\) −774.655 −0.988507
\(86\) −645.983 346.281i −0.809978 0.434192i
\(87\) −35.9419 −0.0442916
\(88\) −36.3581 45.5916i −0.0440430 0.0552282i
\(89\) 481.831 + 72.6243i 0.573865 + 0.0864962i 0.429562 0.903037i \(-0.358668\pi\)
0.144303 + 0.989534i \(0.453906\pi\)
\(90\) 103.830 454.911i 0.121608 0.532798i
\(91\) 1781.48 + 1214.59i 2.05220 + 1.39917i
\(92\) 60.5814 + 104.930i 0.0686526 + 0.118910i
\(93\) −396.941 + 687.522i −0.442590 + 0.766588i
\(94\) 283.225 136.394i 0.310770 0.149659i
\(95\) −798.779 246.391i −0.862663 0.266096i
\(96\) −29.1944 389.572i −0.0310379 0.414172i
\(97\) 89.0840 + 390.302i 0.0932485 + 0.408548i 0.999911 0.0133073i \(-0.00423598\pi\)
−0.906663 + 0.421856i \(0.861379\pi\)
\(98\) −713.689 + 1818.45i −0.735648 + 1.87440i
\(99\) −4.01648 + 53.5961i −0.00407748 + 0.0544102i
\(100\) −72.8926 + 10.9868i −0.0728926 + 0.0109868i
\(101\) 420.911 + 390.548i 0.414675 + 0.384762i 0.859736 0.510738i \(-0.170628\pi\)
−0.445062 + 0.895500i \(0.646818\pi\)
\(102\) −1568.95 755.567i −1.52303 0.733454i
\(103\) −306.764 + 209.148i −0.293460 + 0.200078i −0.701096 0.713067i \(-0.747306\pi\)
0.407636 + 0.913144i \(0.366353\pi\)
\(104\) 572.079 + 1457.63i 0.539394 + 1.37435i
\(105\) 1796.51 554.150i 1.66973 0.515043i
\(106\) 646.943 600.275i 0.592799 0.550037i
\(107\) 643.017 806.318i 0.580961 0.728502i −0.401315 0.915940i \(-0.631447\pi\)
0.982276 + 0.187438i \(0.0600183\pi\)
\(108\) 26.3847 33.0853i 0.0235080 0.0294781i
\(109\) −1025.89 + 951.884i −0.901488 + 0.836458i −0.987139 0.159867i \(-0.948894\pi\)
0.0856508 + 0.996325i \(0.472703\pi\)
\(110\) 48.8678 15.0737i 0.0423579 0.0130657i
\(111\) 747.267 + 1904.01i 0.638986 + 1.62811i
\(112\) −1435.30 + 978.569i −1.21092 + 0.825590i
\(113\) 1443.80 + 695.299i 1.20196 + 0.578834i 0.924234 0.381826i \(-0.124705\pi\)
0.277727 + 0.960660i \(0.410419\pi\)
\(114\) −1377.49 1278.12i −1.13170 1.05006i
\(115\) −781.139 + 117.738i −0.633405 + 0.0954704i
\(116\) 0.476359 6.35657i 0.000381283 0.00508787i
\(117\) 527.271 1343.46i 0.416634 1.06157i
\(118\) 11.1512 + 48.8564i 0.00869956 + 0.0381152i
\(119\) −236.266 3152.75i −0.182004 2.42868i
\(120\) 1304.70 + 402.448i 0.992521 + 0.306152i
\(121\) 1193.88 574.943i 0.896981 0.431964i
\(122\) 657.342 1138.55i 0.487811 0.844913i
\(123\) −766.438 1327.51i −0.561849 0.973150i
\(124\) −116.332 79.3140i −0.0842496 0.0574404i
\(125\) 332.421 1456.43i 0.237861 1.04214i
\(126\) 1883.10 + 283.832i 1.33143 + 0.200681i
\(127\) −985.149 1235.34i −0.688329 0.863137i 0.307763 0.951463i \(-0.400420\pi\)
−0.996092 + 0.0883258i \(0.971848\pi\)
\(128\) −1022.61 −0.706146
\(129\) −1912.32 + 500.385i −1.30520 + 0.341523i
\(130\) −1373.23 −0.926467
\(131\) 769.569 + 965.009i 0.513264 + 0.643612i 0.969163 0.246419i \(-0.0792539\pi\)
−0.455900 + 0.890031i \(0.650682\pi\)
\(132\) −20.9178 3.15285i −0.0137929 0.00207894i
\(133\) 759.157 3326.09i 0.494942 2.16848i
\(134\) 834.889 + 569.218i 0.538235 + 0.366962i
\(135\) 137.952 + 238.941i 0.0879485 + 0.152331i
\(136\) 1148.04 1988.47i 0.723852 1.25375i
\(137\) −1805.43 + 869.450i −1.12590 + 0.542205i −0.901711 0.432340i \(-0.857688\pi\)
−0.224190 + 0.974545i \(0.571974\pi\)
\(138\) −1696.92 523.430i −1.04675 0.322879i
\(139\) 149.930 + 2000.68i 0.0914885 + 1.22083i 0.834293 + 0.551321i \(0.185876\pi\)
−0.742804 + 0.669508i \(0.766505\pi\)
\(140\) 74.1952 + 325.070i 0.0447903 + 0.196239i
\(141\) 309.736 789.194i 0.184996 0.471362i
\(142\) −169.113 + 2256.65i −0.0999411 + 1.33362i
\(143\) 156.409 23.5749i 0.0914657 0.0137862i
\(144\) 852.374 + 790.888i 0.493272 + 0.457690i
\(145\) 37.4443 + 18.0322i 0.0214454 + 0.0103276i
\(146\) 992.606 676.747i 0.562662 0.383616i
\(147\) 1924.78 + 4904.25i 1.07995 + 2.75167i
\(148\) −346.641 + 106.925i −0.192525 + 0.0593861i
\(149\) −2409.58 + 2235.77i −1.32484 + 1.22927i −0.371114 + 0.928587i \(0.621024\pi\)
−0.953724 + 0.300682i \(0.902786\pi\)
\(150\) 673.627 844.701i 0.366676 0.459797i
\(151\) −912.149 + 1143.80i −0.491587 + 0.616430i −0.964308 0.264781i \(-0.914700\pi\)
0.472722 + 0.881212i \(0.343272\pi\)
\(152\) 1816.26 1685.24i 0.969196 0.899283i
\(153\) −2022.22 + 623.774i −1.06854 + 0.329602i
\(154\) 76.2528 + 194.289i 0.0399002 + 0.101664i
\(155\) 758.468 517.115i 0.393043 0.267972i
\(156\) 511.787 + 246.464i 0.262665 + 0.126493i
\(157\) 682.152 + 632.945i 0.346762 + 0.321748i 0.834255 0.551379i \(-0.185898\pi\)
−0.487493 + 0.873127i \(0.662088\pi\)
\(158\) −37.9233 + 5.71602i −0.0190950 + 0.00287811i
\(159\) 177.868 2373.49i 0.0887162 1.18384i
\(160\) −165.036 + 420.504i −0.0815452 + 0.207774i
\(161\) −717.423 3143.23i −0.351185 1.53864i
\(162\) 162.494 + 2168.33i 0.0788070 + 1.05161i
\(163\) −1726.92 532.683i −0.829831 0.255969i −0.149396 0.988777i \(-0.547733\pi\)
−0.680435 + 0.732809i \(0.738209\pi\)
\(164\) 244.938 117.956i 0.116624 0.0561634i
\(165\) 68.9606 119.443i 0.0325368 0.0563554i
\(166\) 936.096 + 1621.37i 0.437682 + 0.758087i
\(167\) −682.703 465.459i −0.316342 0.215678i 0.394731 0.918797i \(-0.370838\pi\)
−0.711073 + 0.703119i \(0.751790\pi\)
\(168\) −1239.99 + 5432.74i −0.569447 + 2.49491i
\(169\) −2027.53 305.600i −0.922861 0.139099i
\(170\) 1255.46 + 1574.30i 0.566410 + 0.710256i
\(171\) −2283.60 −1.02124
\(172\) −63.1515 344.840i −0.0279957 0.152871i
\(173\) 3397.54 1.49312 0.746562 0.665316i \(-0.231703\pi\)
0.746562 + 0.665316i \(0.231703\pi\)
\(174\) 58.2501 + 73.0434i 0.0253789 + 0.0318242i
\(175\) 1939.63 + 292.352i 0.837841 + 0.126284i
\(176\) −28.3578 + 124.243i −0.0121451 + 0.0532114i
\(177\) 111.667 + 76.1335i 0.0474205 + 0.0323308i
\(178\) −633.300 1096.91i −0.266673 0.461892i
\(179\) −2013.73 + 3487.89i −0.840858 + 1.45641i 0.0483128 + 0.998832i \(0.484616\pi\)
−0.889171 + 0.457576i \(0.848718\pi\)
\(180\) 201.082 96.8362i 0.0832655 0.0400986i
\(181\) 819.825 + 252.882i 0.336669 + 0.103849i 0.458480 0.888705i \(-0.348394\pi\)
−0.121811 + 0.992553i \(0.538870\pi\)
\(182\) −418.831 5588.91i −0.170581 2.27625i
\(183\) −788.976 3456.73i −0.318704 1.39633i
\(184\) 855.430 2179.60i 0.342734 0.873273i
\(185\) 176.746 2358.51i 0.0702411 0.937302i
\(186\) 2040.54 307.562i 0.804407 0.121245i
\(187\) −170.022 157.758i −0.0664880 0.0616918i
\(188\) 135.469 + 65.2386i 0.0525538 + 0.0253086i
\(189\) −930.386 + 634.326i −0.358072 + 0.244129i
\(190\) 793.831 + 2022.65i 0.303108 + 0.772307i
\(191\) −114.575 + 35.3418i −0.0434051 + 0.0133887i −0.316382 0.948632i \(-0.602468\pi\)
0.272977 + 0.962021i \(0.411992\pi\)
\(192\) −2903.07 + 2693.66i −1.09120 + 1.01249i
\(193\) 1950.20 2445.47i 0.727350 0.912068i −0.271379 0.962473i \(-0.587480\pi\)
0.998729 + 0.0504047i \(0.0160511\pi\)
\(194\) 648.821 813.596i 0.240117 0.301097i
\(195\) −2714.88 + 2519.04i −0.997009 + 0.925089i
\(196\) −892.863 + 275.412i −0.325387 + 0.100369i
\(197\) −105.080 267.738i −0.0380031 0.0968302i 0.910612 0.413262i \(-0.135611\pi\)
−0.948615 + 0.316431i \(0.897515\pi\)
\(198\) 115.431 78.6995i 0.0414309 0.0282471i
\(199\) −3288.97 1583.88i −1.17160 0.564214i −0.256148 0.966638i \(-0.582454\pi\)
−0.915453 + 0.402424i \(0.868168\pi\)
\(200\) 1044.27 + 968.942i 0.369206 + 0.342573i
\(201\) 2694.74 406.167i 0.945634 0.142531i
\(202\) 111.537 1488.35i 0.0388500 0.518417i
\(203\) −61.9688 + 157.894i −0.0214254 + 0.0545910i
\(204\) −185.345 812.049i −0.0636115 0.278700i
\(205\) 132.458 + 1767.53i 0.0451281 + 0.602193i
\(206\) 922.211 + 284.464i 0.311910 + 0.0962115i
\(207\) −1944.35 + 936.347i −0.652857 + 0.314399i
\(208\) 1711.03 2963.58i 0.570376 0.987921i
\(209\) −125.140 216.749i −0.0414168 0.0717359i
\(210\) −4037.75 2752.89i −1.32681 0.904606i
\(211\) 274.523 1202.77i 0.0895685 0.392425i −0.910195 0.414180i \(-0.864068\pi\)
0.999763 + 0.0217550i \(0.00692538\pi\)
\(212\) 417.411 + 62.9146i 0.135226 + 0.0203820i
\(213\) 3805.24 + 4771.62i 1.22409 + 1.53496i
\(214\) −2680.78 −0.856328
\(215\) 2243.31 + 438.120i 0.711592 + 0.138975i
\(216\) −817.785 −0.257607
\(217\) 2335.93 + 2929.16i 0.730752 + 0.916334i
\(218\) 3597.11 + 542.178i 1.11756 + 0.168444i
\(219\) 720.964 3158.75i 0.222458 0.974651i
\(220\) 20.2104 + 13.7792i 0.00619357 + 0.00422271i
\(221\) 3114.06 + 5393.70i 0.947847 + 1.64172i
\(222\) 2658.36 4604.42i 0.803684 1.39202i
\(223\) 2984.68 1437.34i 0.896272 0.431622i 0.0717310 0.997424i \(-0.477148\pi\)
0.824541 + 0.565802i \(0.191433\pi\)
\(224\) −1761.74 543.425i −0.525496 0.162094i
\(225\) −98.1187 1309.30i −0.0290722 0.387941i
\(226\) −926.907 4061.05i −0.272818 1.19530i
\(227\) 865.317 2204.79i 0.253009 0.644657i −0.746782 0.665069i \(-0.768402\pi\)
0.999792 + 0.0204112i \(0.00649753\pi\)
\(228\) 67.1676 896.290i 0.0195100 0.260343i
\(229\) −1162.00 + 175.143i −0.335314 + 0.0505404i −0.314541 0.949244i \(-0.601851\pi\)
−0.0207725 + 0.999784i \(0.506613\pi\)
\(230\) 1505.25 + 1396.67i 0.431535 + 0.400406i
\(231\) 507.153 + 244.232i 0.144451 + 0.0695640i
\(232\) −101.780 + 69.3923i −0.0288025 + 0.0196372i
\(233\) −2045.46 5211.74i −0.575117 1.46537i −0.861750 0.507334i \(-0.830631\pi\)
0.286633 0.958041i \(-0.407464\pi\)
\(234\) −3584.81 + 1105.77i −1.00148 + 0.308916i
\(235\) −718.627 + 666.788i −0.199481 + 0.185091i
\(236\) −14.9448 + 18.7401i −0.00412212 + 0.00516898i
\(237\) −64.4890 + 80.8666i −0.0176751 + 0.0221639i
\(238\) −6024.32 + 5589.75i −1.64075 + 1.52239i
\(239\) −173.185 + 53.4204i −0.0468719 + 0.0144581i −0.318102 0.948056i \(-0.603046\pi\)
0.271231 + 0.962514i \(0.412569\pi\)
\(240\) −1090.12 2777.59i −0.293196 0.747052i
\(241\) −4766.96 + 3250.06i −1.27414 + 0.868691i −0.995779 0.0917871i \(-0.970742\pi\)
−0.278357 + 0.960478i \(0.589790\pi\)
\(242\) −3103.34 1494.49i −0.824339 0.396981i
\(243\) 3625.15 + 3363.65i 0.957010 + 0.887975i
\(244\) 621.804 93.7219i 0.163143 0.0245899i
\(245\) 455.254 6074.94i 0.118715 1.58414i
\(246\) −1455.70 + 3709.07i −0.377285 + 0.961307i
\(247\) 1495.48 + 6552.15i 0.385245 + 1.68787i
\(248\) 203.333 + 2713.29i 0.0520631 + 0.694733i
\(249\) 4824.88 + 1488.28i 1.22797 + 0.378778i
\(250\) −3498.60 + 1684.84i −0.885083 + 0.426234i
\(251\) 2437.90 4222.56i 0.613062 1.06185i −0.377659 0.925945i \(-0.623271\pi\)
0.990721 0.135910i \(-0.0433958\pi\)
\(252\) 455.441 + 788.847i 0.113850 + 0.197193i
\(253\) −195.422 133.237i −0.0485617 0.0331088i
\(254\) −913.925 + 4004.17i −0.225767 + 0.989148i
\(255\) 5369.93 + 809.387i 1.31874 + 0.198768i
\(256\) −1160.44 1455.15i −0.283310 0.355260i
\(257\) −7238.00 −1.75679 −0.878394 0.477938i \(-0.841384\pi\)
−0.878394 + 0.477938i \(0.841384\pi\)
\(258\) 4116.17 + 3075.38i 0.993262 + 0.742112i
\(259\) 9652.76 2.31580
\(260\) −409.529 513.533i −0.0976842 0.122492i
\(261\) 112.268 + 16.9217i 0.0266253 + 0.00401312i
\(262\) 713.931 3127.94i 0.168347 0.737575i
\(263\) −2480.60 1691.25i −0.581599 0.396527i 0.236478 0.971637i \(-0.424007\pi\)
−0.818076 + 0.575110i \(0.804959\pi\)
\(264\) 204.400 + 354.031i 0.0476513 + 0.0825345i
\(265\) −1376.10 + 2383.47i −0.318992 + 0.552511i
\(266\) −7989.83 + 3847.70i −1.84168 + 0.886909i
\(267\) −3264.19 1006.87i −0.748184 0.230784i
\(268\) 36.1185 + 481.967i 0.00823241 + 0.109854i
\(269\) 1819.09 + 7969.95i 0.412311 + 1.80645i 0.573123 + 0.819469i \(0.305732\pi\)
−0.160812 + 0.986985i \(0.551411\pi\)
\(270\) 262.014 667.601i 0.0590581 0.150477i
\(271\) −126.821 + 1692.31i −0.0284274 + 0.379338i 0.964786 + 0.263035i \(0.0847234\pi\)
−0.993214 + 0.116303i \(0.962896\pi\)
\(272\) −4961.80 + 747.870i −1.10608 + 0.166714i
\(273\) −11080.2 10281.0i −2.45644 2.27924i
\(274\) 4692.97 + 2260.02i 1.03472 + 0.498294i
\(275\) 118.896 81.0619i 0.0260716 0.0177753i
\(276\) −310.318 790.676i −0.0676772 0.172439i
\(277\) −233.201 + 71.9329i −0.0505836 + 0.0156030i −0.319944 0.947437i \(-0.603664\pi\)
0.269360 + 0.963040i \(0.413188\pi\)
\(278\) 3822.92 3547.15i 0.824761 0.765266i
\(279\) 1563.57 1960.66i 0.335515 0.420723i
\(280\) 4017.46 5037.73i 0.857460 1.07522i
\(281\) −863.239 + 800.969i −0.183262 + 0.170042i −0.766469 0.642281i \(-0.777988\pi\)
0.583207 + 0.812323i \(0.301798\pi\)
\(282\) −2105.83 + 649.563i −0.444683 + 0.137166i
\(283\) −102.001 259.893i −0.0214251 0.0545903i 0.919761 0.392479i \(-0.128382\pi\)
−0.941186 + 0.337889i \(0.890287\pi\)
\(284\) −894.328 + 609.743i −0.186861 + 0.127400i
\(285\) 5279.72 + 2542.58i 1.09735 + 0.528454i
\(286\) −301.399 279.658i −0.0623151 0.0578200i
\(287\) −7153.24 + 1078.18i −1.47123 + 0.221752i
\(288\) −92.2216 + 1230.61i −0.0188688 + 0.251787i
\(289\) 1541.54 3927.77i 0.313767 0.799464i
\(290\) −24.0389 105.321i −0.00486763 0.0213265i
\(291\) −209.731 2798.67i −0.0422497 0.563783i
\(292\) 549.092 + 169.373i 0.110045 + 0.0339444i
\(293\) −415.159 + 199.930i −0.0827777 + 0.0398636i −0.474815 0.880086i \(-0.657485\pi\)
0.392037 + 0.919950i \(0.371771\pi\)
\(294\) 6847.30 11859.9i 1.35831 2.35266i
\(295\) −78.1388 135.340i −0.0154217 0.0267112i
\(296\) 5792.13 + 3949.01i 1.13737 + 0.775444i
\(297\) −18.3820 + 80.5368i −0.00359135 + 0.0157348i
\(298\) 8448.83 + 1273.46i 1.64237 + 0.247548i
\(299\) 3959.90 + 4965.55i 0.765909 + 0.960419i
\(300\) 516.774 0.0994531
\(301\) −1098.90 + 9263.63i −0.210430 + 1.77391i
\(302\) 3802.80 0.724591
\(303\) −2509.71 3147.08i −0.475838 0.596682i
\(304\) −5354.19 807.014i −1.01014 0.152255i
\(305\) −912.304 + 3997.07i −0.171273 + 0.750398i
\(306\) 4545.05 + 3098.76i 0.849095 + 0.578903i
\(307\) 2135.03 + 3697.98i 0.396914 + 0.687475i 0.993343 0.115190i \(-0.0367477\pi\)
−0.596429 + 0.802666i \(0.703414\pi\)
\(308\) −49.9158 + 86.4567i −0.00923447 + 0.0159946i
\(309\) 2345.03 1129.31i 0.431728 0.207909i
\(310\) −2280.15 703.332i −0.417754 0.128860i
\(311\) 79.9784 + 1067.24i 0.0145825 + 0.194590i 0.999737 + 0.0229214i \(0.00729675\pi\)
−0.985155 + 0.171668i \(0.945084\pi\)
\(312\) −2442.68 10702.1i −0.443236 1.94194i
\(313\) 1120.99 2856.23i 0.202434 0.515794i −0.793218 0.608937i \(-0.791596\pi\)
0.995653 + 0.0931428i \(0.0296913\pi\)
\(314\) 180.763 2412.11i 0.0324874 0.433514i
\(315\) −5872.48 + 885.134i −1.05040 + 0.158323i
\(316\) −13.4471 12.4771i −0.00239386 0.00222118i
\(317\) −5884.45 2833.80i −1.04260 0.502089i −0.167418 0.985886i \(-0.553543\pi\)
−0.875180 + 0.483797i \(0.839257\pi\)
\(318\) −5111.82 + 3485.18i −0.901436 + 0.614589i
\(319\) 4.54608 + 11.5832i 0.000797906 + 0.00203303i
\(320\) 4375.85 1349.77i 0.764430 0.235795i
\(321\) −5299.89 + 4917.58i −0.921530 + 0.855055i
\(322\) −5225.17 + 6552.16i −0.904309 + 1.13397i
\(323\) 6144.28 7704.68i 1.05844 1.32724i
\(324\) −762.407 + 707.411i −0.130728 + 0.121298i
\(325\) −3692.42 + 1138.96i −0.630211 + 0.194394i
\(326\) 1716.22 + 4372.86i 0.291572 + 0.742914i
\(327\) 8106.05 5526.61i 1.37084 0.934625i
\(328\) −4733.39 2279.48i −0.796822 0.383729i
\(329\) −2932.93 2721.36i −0.491482 0.456029i
\(330\) −354.503 + 53.4328i −0.0591356 + 0.00891326i
\(331\) 846.450 11295.1i 0.140559 1.87563i −0.268713 0.963220i \(-0.586598\pi\)
0.409272 0.912412i \(-0.365783\pi\)
\(332\) −327.159 + 833.589i −0.0540819 + 0.137799i
\(333\) −1437.74 6299.17i −0.236600 1.03661i
\(334\) 160.505 + 2141.79i 0.0262947 + 0.350879i
\(335\) −3011.16 928.821i −0.491097 0.151483i
\(336\) 10972.0 5283.83i 1.78146 0.857906i
\(337\) −2355.33 + 4079.55i −0.380721 + 0.659428i −0.991165 0.132631i \(-0.957657\pi\)
0.610445 + 0.792059i \(0.290991\pi\)
\(338\) 2664.90 + 4615.75i 0.428851 + 0.742792i
\(339\) −9282.03 6328.38i −1.48711 1.01389i
\(340\) −214.317 + 938.984i −0.0341852 + 0.149775i
\(341\) 271.780 + 40.9642i 0.0431604 + 0.00650538i
\(342\) 3700.98 + 4640.88i 0.585164 + 0.733772i
\(343\) 13515.5 2.12760
\(344\) −4449.21 + 5109.07i −0.697341 + 0.800763i
\(345\) 5537.90 0.864204
\(346\) −5506.32 6904.71i −0.855554 1.07283i
\(347\) 5740.11 + 865.183i 0.888027 + 0.133849i 0.577185 0.816613i \(-0.304151\pi\)
0.310842 + 0.950462i \(0.399389\pi\)
\(348\) −9.94372 + 43.5663i −0.00153172 + 0.00671091i
\(349\) −4157.50 2834.54i −0.637667 0.434754i 0.200855 0.979621i \(-0.435628\pi\)
−0.838523 + 0.544867i \(0.816580\pi\)
\(350\) −2549.38 4415.65i −0.389343 0.674361i
\(351\) 1109.12 1921.05i 0.168662 0.292131i
\(352\) −121.858 + 58.6835i −0.0184518 + 0.00888591i
\(353\) −53.3846 16.4670i −0.00804922 0.00248285i 0.290728 0.956806i \(-0.406103\pi\)
−0.298777 + 0.954323i \(0.596579\pi\)
\(354\) −26.2533 350.326i −0.00394166 0.0525977i
\(355\) −1570.36 6880.20i −0.234778 1.02863i
\(356\) 221.334 563.950i 0.0329514 0.0839587i
\(357\) −1656.31 + 22101.9i −0.245549 + 3.27662i
\(358\) 10351.9 1560.30i 1.52826 0.230348i
\(359\) 2945.09 + 2732.64i 0.432969 + 0.401736i 0.866320 0.499489i \(-0.166479\pi\)
−0.433352 + 0.901225i \(0.642669\pi\)
\(360\) −3885.89 1871.35i −0.568902 0.273969i
\(361\) 3119.04 2126.53i 0.454737 0.310034i
\(362\) −814.747 2075.94i −0.118293 0.301406i
\(363\) −8876.76 + 2738.12i −1.28350 + 0.395906i
\(364\) 1965.12 1823.36i 0.282967 0.262555i
\(365\) −2335.87 + 2929.08i −0.334972 + 0.420042i
\(366\) −5746.32 + 7205.65i −0.820669 + 1.02909i
\(367\) 2412.61 2238.57i 0.343153 0.318399i −0.489703 0.871889i \(-0.662895\pi\)
0.832856 + 0.553490i \(0.186704\pi\)
\(368\) −4889.66 + 1508.26i −0.692639 + 0.213651i
\(369\) 1769.04 + 4507.45i 0.249574 + 0.635904i
\(370\) −5079.56 + 3463.18i −0.713712 + 0.486601i
\(371\) −10120.1 4873.61i −1.41620 0.682008i
\(372\) 723.550 + 671.356i 0.100845 + 0.0935704i
\(373\) −2978.84 + 448.987i −0.413507 + 0.0623262i −0.352502 0.935811i \(-0.614669\pi\)
−0.0610058 + 0.998137i \(0.519431\pi\)
\(374\) −45.0540 + 601.204i −0.00622911 + 0.0831217i
\(375\) −3826.08 + 9748.70i −0.526875 + 1.34246i
\(376\) −646.576 2832.83i −0.0886824 0.388543i
\(377\) −24.9701 333.203i −0.00341121 0.0455194i
\(378\) 2796.97 + 862.752i 0.380584 + 0.117395i
\(379\) 6514.80 3137.36i 0.882962 0.425212i 0.0632566 0.997997i \(-0.479851\pi\)
0.819706 + 0.572785i \(0.194137\pi\)
\(380\) −519.649 + 900.059i −0.0701511 + 0.121505i
\(381\) 5538.36 + 9592.72i 0.744721 + 1.28990i
\(382\) 257.513 + 175.570i 0.0344909 + 0.0235155i
\(383\) −1752.43 + 7677.89i −0.233799 + 1.02434i 0.712659 + 0.701511i \(0.247491\pi\)
−0.946458 + 0.322828i \(0.895366\pi\)
\(384\) 7088.76 + 1068.46i 0.942049 + 0.141991i
\(385\) −405.821 508.883i −0.0537209 0.0673639i
\(386\) −8130.50 −1.07210
\(387\) 6208.91 662.667i 0.815547 0.0870421i
\(388\) 497.744 0.0651266
\(389\) 1771.50 + 2221.39i 0.230896 + 0.289534i 0.883760 0.467941i \(-0.155004\pi\)
−0.652864 + 0.757475i \(0.726433\pi\)
\(390\) 9519.31 + 1434.81i 1.23597 + 0.186293i
\(391\) 2072.32 9079.41i 0.268035 1.17434i
\(392\) 14919.1 + 10171.7i 1.92227 + 1.31058i
\(393\) −4326.40 7493.55i −0.555313 0.961831i
\(394\) −373.815 + 647.467i −0.0477983 + 0.0827891i
\(395\) 107.756 51.8926i 0.0137261 0.00661012i
\(396\) 63.8544 + 19.6965i 0.00810304 + 0.00249946i
\(397\) −19.7843 264.003i −0.00250112 0.0333752i 0.995814 0.0914072i \(-0.0291365\pi\)
−0.998315 + 0.0580320i \(0.981517\pi\)
\(398\) 2111.48 + 9251.02i 0.265927 + 1.16510i
\(399\) −8737.72 + 22263.3i −1.09632 + 2.79339i
\(400\) 232.650 3104.50i 0.0290812 0.388062i
\(401\) −10823.7 + 1631.41i −1.34790 + 0.203164i −0.783014 0.622004i \(-0.786319\pi\)
−0.564888 + 0.825167i \(0.691081\pi\)
\(402\) −5192.74 4818.16i −0.644255 0.597781i
\(403\) −6649.52 3202.24i −0.821925 0.395818i
\(404\) 589.845 402.150i 0.0726384 0.0495240i
\(405\) −2477.35 6312.19i −0.303952 0.774458i
\(406\) 421.313 129.958i 0.0515011 0.0158860i
\(407\) 519.100 481.654i 0.0632207 0.0586602i
\(408\) −10035.9 + 12584.6i −1.21777 + 1.52704i
\(409\) −649.554 + 814.515i −0.0785290 + 0.0984723i −0.819544 0.573016i \(-0.805773\pi\)
0.741015 + 0.671488i \(0.234345\pi\)
\(410\) 3377.42 3133.78i 0.406826 0.377479i
\(411\) 13423.7 4140.68i 1.61106 0.496945i
\(412\) 168.646 + 429.702i 0.0201664 + 0.0513833i
\(413\) 526.988 359.294i 0.0627878 0.0428080i
\(414\) 5054.06 + 2433.91i 0.599984 + 0.288937i
\(415\) −4279.89 3971.16i −0.506245 0.469727i
\(416\) 3591.29 541.300i 0.423263 0.0637966i
\(417\) 1051.06 14025.4i 0.123431 1.64707i
\(418\) −237.679 + 605.597i −0.0278116 + 0.0708629i
\(419\) −3192.73 13988.3i −0.372256 1.63096i −0.720429 0.693529i \(-0.756055\pi\)
0.348173 0.937430i \(-0.386802\pi\)
\(420\) −174.678 2330.92i −0.0202939 0.270803i
\(421\) 9308.01 + 2871.14i 1.07754 + 0.332377i 0.782208 0.623017i \(-0.214093\pi\)
0.295333 + 0.955394i \(0.404569\pi\)
\(422\) −2889.25 + 1391.39i −0.333286 + 0.160502i
\(423\) −1339.05 + 2319.30i −0.153917 + 0.266591i
\(424\) −4078.76 7064.63i −0.467175 0.809171i
\(425\) 4681.48 + 3191.78i 0.534318 + 0.364292i
\(426\) 3530.13 15466.5i 0.401492 1.75905i
\(427\) −16545.8 2493.88i −1.87520 0.282641i
\(428\) −799.467 1002.50i −0.0902890 0.113219i
\(429\) −1108.87 −0.124794
\(430\) −2745.30 5269.05i −0.307884 0.590921i
\(431\) −9625.51 −1.07574 −0.537871 0.843027i \(-0.680771\pi\)
−0.537871 + 0.843027i \(0.680771\pi\)
\(432\) 1114.29 + 1397.27i 0.124100 + 0.155616i
\(433\) 9752.56 + 1469.96i 1.08240 + 0.163145i 0.665936 0.746008i \(-0.268032\pi\)
0.416461 + 0.909154i \(0.363270\pi\)
\(434\) 2167.05 9494.45i 0.239681 1.05011i
\(435\) −240.725 164.123i −0.0265330 0.0180899i
\(436\) 869.986 + 1506.86i 0.0955614 + 0.165517i
\(437\) 5024.69 8703.02i 0.550031 0.952682i
\(438\) −7587.87 + 3654.13i −0.827768 + 0.398632i
\(439\) 9101.20 + 2807.35i 0.989468 + 0.305210i 0.746909 0.664926i \(-0.231537\pi\)
0.242559 + 0.970137i \(0.422013\pi\)
\(440\) −35.3250 471.379i −0.00382739 0.0510730i
\(441\) −3703.28 16225.1i −0.399879 1.75198i
\(442\) 5914.56 15070.0i 0.636486 1.62174i
\(443\) 198.904 2654.19i 0.0213323 0.284660i −0.976328 0.216295i \(-0.930603\pi\)
0.997660 0.0683652i \(-0.0217783\pi\)
\(444\) 2514.65 379.022i 0.268783 0.0405126i
\(445\) 2895.49 + 2686.62i 0.308448 + 0.286198i
\(446\) −7758.26 3736.18i −0.823687 0.396667i
\(447\) 19039.3 12980.8i 2.01461 1.37354i
\(448\) 6828.03 + 17397.5i 0.720076 + 1.83472i
\(449\) −3469.69 + 1070.26i −0.364688 + 0.112491i −0.471683 0.881768i \(-0.656353\pi\)
0.106995 + 0.994260i \(0.465877\pi\)
\(450\) −2501.83 + 2321.36i −0.262083 + 0.243178i
\(451\) −330.883 + 414.915i −0.0345470 + 0.0433205i
\(452\) 1242.24 1557.72i 0.129270 0.162099i
\(453\) 7518.13 6975.81i 0.779763 0.723514i
\(454\) −5883.12 + 1814.70i −0.608169 + 0.187595i
\(455\) 6385.41 + 16269.8i 0.657918 + 1.67635i
\(456\) −14351.2 + 9784.45i −1.47380 + 1.00482i
\(457\) 13.7465 + 6.61997i 0.00140708 + 0.000677613i 0.434587 0.900630i \(-0.356894\pi\)
−0.433180 + 0.901307i \(0.642609\pi\)
\(458\) 2239.16 + 2077.63i 0.228447 + 0.211968i
\(459\) −3216.33 + 484.783i −0.327070 + 0.0492979i
\(460\) −73.3971 + 979.417i −0.00743948 + 0.0992729i
\(461\) −265.267 + 675.889i −0.0267998 + 0.0682848i −0.943647 0.330953i \(-0.892630\pi\)
0.916847 + 0.399238i \(0.130725\pi\)
\(462\) −325.587 1426.49i −0.0327872 0.143650i
\(463\) 618.574 + 8254.30i 0.0620898 + 0.828531i 0.938128 + 0.346289i \(0.112558\pi\)
−0.876038 + 0.482242i \(0.839823\pi\)
\(464\) 257.246 + 79.3499i 0.0257378 + 0.00793907i
\(465\) −5798.03 + 2792.18i −0.578231 + 0.278461i
\(466\) −7276.61 + 12603.5i −0.723352 + 1.25288i
\(467\) 709.418 + 1228.75i 0.0702954 + 0.121755i 0.899031 0.437885i \(-0.144272\pi\)
−0.828735 + 0.559641i \(0.810939\pi\)
\(468\) −1482.58 1010.81i −0.146437 0.0998387i
\(469\) 2861.80 12538.4i 0.281761 1.23447i
\(470\) 2519.75 + 379.791i 0.247292 + 0.0372733i
\(471\) −4067.38 5100.34i −0.397909 0.498962i
\(472\) 463.208 0.0451714
\(473\) 403.141 + 553.006i 0.0391891 + 0.0537574i
\(474\) 268.858 0.0260529
\(475\) 3812.07 + 4780.19i 0.368232 + 0.461748i
\(476\) −3886.92 585.859i −0.374279 0.0564135i
\(477\) −1673.04 + 7330.08i −0.160594 + 0.703609i
\(478\) 389.241 + 265.380i 0.0372457 + 0.0253937i
\(479\) 3390.05 + 5871.74i 0.323372 + 0.560097i 0.981182 0.193087i \(-0.0618501\pi\)
−0.657809 + 0.753185i \(0.728517\pi\)
\(480\) 1583.39 2742.52i 0.150566 0.260788i
\(481\) −17132.1 + 8250.40i −1.62403 + 0.782091i
\(482\) 14330.7 + 4420.43i 1.35424 + 0.417728i
\(483\) 1689.04 + 22538.6i 0.159118 + 2.12328i
\(484\) −366.607 1606.21i −0.0344296 0.150846i
\(485\) −1185.61 + 3020.88i −0.111002 + 0.282827i
\(486\) 960.625 12818.6i 0.0896601 1.19643i
\(487\) 12571.5 1894.85i 1.16975 0.176312i 0.464701 0.885468i \(-0.346162\pi\)
0.705052 + 0.709156i \(0.250924\pi\)
\(488\) −8908.06 8265.47i −0.826330 0.766722i
\(489\) 11414.5 + 5496.92i 1.05558 + 0.508342i
\(490\) −13083.7 + 8920.32i −1.20625 + 0.822406i
\(491\) 682.718 + 1739.54i 0.0627508 + 0.159886i 0.958810 0.284048i \(-0.0916775\pi\)
−0.896059 + 0.443934i \(0.853582\pi\)
\(492\) −1821.16 + 561.754i −0.166879 + 0.0514752i
\(493\) −359.162 + 333.253i −0.0328110 + 0.0304442i
\(494\) 10892.0 13658.1i 0.992013 1.24394i
\(495\) −271.640 + 340.626i −0.0246653 + 0.0309293i
\(496\) 4358.88 4044.45i 0.394596 0.366132i
\(497\) 27522.7 8489.62i 2.48402 0.766220i
\(498\) −4794.99 12217.4i −0.431463 1.09935i
\(499\) −10655.2 + 7264.62i −0.955900 + 0.651722i −0.937454 0.348108i \(-0.886824\pi\)
−0.0184457 + 0.999830i \(0.505872\pi\)
\(500\) −1673.42 805.876i −0.149675 0.0720797i
\(501\) 4246.19 + 3939.89i 0.378654 + 0.351340i
\(502\) −12532.4 + 1888.96i −1.11424 + 0.167945i
\(503\) −793.783 + 10592.3i −0.0703639 + 0.938941i 0.844598 + 0.535401i \(0.179839\pi\)
−0.914962 + 0.403540i \(0.867780\pi\)
\(504\) 6430.99 16385.9i 0.568371 1.44819i
\(505\) 1035.72 + 4537.77i 0.0912648 + 0.399857i
\(506\) 45.9443 + 613.084i 0.00403651 + 0.0538635i
\(507\) 13735.6 + 4236.87i 1.20319 + 0.371136i
\(508\) −1769.94 + 852.360i −0.154584 + 0.0744437i
\(509\) −1189.58 + 2060.41i −0.103590 + 0.179423i −0.913161 0.407599i \(-0.866366\pi\)
0.809571 + 0.587021i \(0.199700\pi\)
\(510\) −7058.04 12224.9i −0.612814 1.06143i
\(511\) −12633.5 8613.35i −1.09368 0.745660i
\(512\) −2896.96 + 12692.4i −0.250056 + 1.09557i
\(513\) −3470.68 523.121i −0.298702 0.0450221i
\(514\) 11730.5 + 14709.5i 1.00663 + 1.26228i
\(515\) −3009.63 −0.257515
\(516\) 77.4673 + 2456.42i 0.00660912 + 0.209570i
\(517\) −293.516 −0.0249687
\(518\) −15644.0 19617.0i −1.32695 1.66394i
\(519\) −23551.9 3549.88i −1.99193 0.300236i
\(520\) −2824.51 + 12375.0i −0.238198 + 1.04361i
\(521\) −5798.38 3953.27i −0.487585 0.332430i 0.294447 0.955668i \(-0.404864\pi\)
−0.782032 + 0.623238i \(0.785817\pi\)
\(522\) −147.561 255.583i −0.0123727 0.0214302i
\(523\) −10327.8 + 17888.3i −0.863488 + 1.49560i 0.00505325 + 0.999987i \(0.498391\pi\)
−0.868541 + 0.495617i \(0.834942\pi\)
\(524\) 1382.63 665.839i 0.115268 0.0555101i
\(525\) −13140.1 4053.19i −1.09235 0.336944i
\(526\) 583.196 + 7782.20i 0.0483432 + 0.645095i
\(527\) 2408.14 + 10550.7i 0.199052 + 0.872102i
\(528\) 326.391 831.631i 0.0269022 0.0685456i
\(529\) −199.535 + 2662.61i −0.0163997 + 0.218839i
\(530\) 7074.05 1066.24i 0.579768 0.0873859i
\(531\) −312.960 290.384i −0.0255768 0.0237318i
\(532\) −3821.63 1840.40i −0.311445 0.149984i
\(533\) 11774.3 8027.61i 0.956854 0.652372i
\(534\) 3243.97 + 8265.50i 0.262885 + 0.669819i
\(535\) 7988.62 2464.16i 0.645567 0.199131i
\(536\) 6846.76 6352.87i 0.551745 0.511944i
\(537\) 17603.5 22074.2i 1.41462 1.77387i
\(538\) 13248.9 16613.6i 1.06171 1.33134i
\(539\) 1337.07 1240.62i 0.106849 0.0991418i
\(540\) 327.794 101.111i 0.0261222 0.00805763i
\(541\) −4896.88 12477.1i −0.389156 0.991554i −0.982443 0.186563i \(-0.940265\pi\)
0.593287 0.804991i \(-0.297830\pi\)
\(542\) 3644.76 2484.95i 0.288848 0.196933i
\(543\) −5418.83 2609.57i −0.428259 0.206238i
\(544\) −3903.85 3622.25i −0.307677 0.285483i
\(545\) −11217.6 + 1690.79i −0.881671 + 0.132891i
\(546\) −2936.14 + 39180.1i −0.230138 + 3.07098i
\(547\) −1642.05 + 4183.89i −0.128353 + 0.327038i −0.980576 0.196141i \(-0.937159\pi\)
0.852223 + 0.523179i \(0.175254\pi\)
\(548\) 554.395 + 2428.96i 0.0432164 + 0.189343i
\(549\) 836.993 + 11168.9i 0.0650674 + 0.868264i
\(550\) −357.431 110.253i −0.0277108 0.00854764i
\(551\) −476.343 + 229.395i −0.0368292 + 0.0177360i
\(552\) −8207.20 + 14215.3i −0.632829 + 1.09609i
\(553\) 244.062 + 422.728i 0.0187678 + 0.0325067i
\(554\) 524.130 + 357.346i 0.0401952 + 0.0274046i
\(555\) −3689.46 + 16164.6i −0.282178 + 1.23630i
\(556\) 2466.57 + 371.775i 0.188140 + 0.0283575i
\(557\) −4243.84 5321.61i −0.322832 0.404818i 0.593760 0.804642i \(-0.297643\pi\)
−0.916592 + 0.399824i \(0.869071\pi\)
\(558\) −6518.63 −0.494544
\(559\) −5967.43 17380.7i −0.451512 1.31507i
\(560\) −14081.6 −1.06260
\(561\) 1013.77 + 1271.23i 0.0762948 + 0.0956706i
\(562\) 3026.81 + 456.218i 0.227186 + 0.0342427i
\(563\) 1873.10 8206.57i 0.140216 0.614327i −0.855168 0.518351i \(-0.826546\pi\)
0.995384 0.0959751i \(-0.0305969\pi\)
\(564\) −870.915 593.780i −0.0650215 0.0443309i
\(565\) 6495.06 + 11249.8i 0.483627 + 0.837666i
\(566\) −362.862 + 628.495i −0.0269474 + 0.0466743i
\(567\) 24934.3 12007.7i 1.84681 0.889378i
\(568\) 19988.1 + 6165.52i 1.47655 + 0.455457i
\(569\) −510.534 6812.60i −0.0376146 0.501932i −0.983914 0.178641i \(-0.942830\pi\)
0.946300 0.323291i \(-0.104789\pi\)
\(570\) −3389.53 14850.5i −0.249073 1.09126i
\(571\) −7828.50 + 19946.7i −0.573752 + 1.46190i 0.289527 + 0.957170i \(0.406502\pi\)
−0.863279 + 0.504727i \(0.831593\pi\)
\(572\) 14.6965 196.111i 0.00107429 0.0143353i
\(573\) 831.166 125.278i 0.0605977 0.00913363i
\(574\) 13784.2 + 12789.9i 1.00234 + 0.930035i
\(575\) 5205.77 + 2506.97i 0.377558 + 0.181822i
\(576\) 10336.2 7047.12i 0.747702 0.509774i
\(577\) −2130.83 5429.27i −0.153739 0.391722i 0.833166 0.553023i \(-0.186526\pi\)
−0.986905 + 0.161302i \(0.948431\pi\)
\(578\) −10480.6 + 3232.84i −0.754213 + 0.232644i
\(579\) −16074.0 + 14914.5i −1.15373 + 1.07051i
\(580\) 32.2168 40.3987i 0.00230643 0.00289218i
\(581\) 14856.8 18629.9i 1.06087 1.33029i
\(582\) −5347.73 + 4961.97i −0.380877 + 0.353402i
\(583\) −787.418 + 242.886i −0.0559374 + 0.0172544i
\(584\) −4056.92 10336.9i −0.287460 0.732437i
\(585\) 9666.19 6590.30i 0.683158 0.465770i
\(586\) 1079.15 + 519.691i 0.0760739 + 0.0366352i
\(587\) −12306.9 11419.2i −0.865353 0.802930i 0.116378 0.993205i \(-0.462872\pi\)
−0.981731 + 0.190275i \(0.939062\pi\)
\(588\) 6477.12 976.268i 0.454272 0.0684704i
\(589\) −872.692 + 11645.3i −0.0610503 + 0.814660i
\(590\) −148.410 + 378.142i −0.0103558 + 0.0263862i
\(591\) 448.672 + 1965.76i 0.0312283 + 0.136820i
\(592\) −1144.87 15277.3i −0.0794831 1.06063i
\(593\) −15159.6 4676.11i −1.04980 0.323819i −0.278593 0.960409i \(-0.589868\pi\)
−0.771202 + 0.636590i \(0.780344\pi\)
\(594\) 193.464 93.1671i 0.0133635 0.00643551i
\(595\) 12814.2 22194.8i 0.882908 1.52924i
\(596\) 2043.41 + 3539.29i 0.140438 + 0.243246i
\(597\) 21144.3 + 14416.0i 1.44955 + 0.988285i
\(598\) 3673.61 16095.1i 0.251212 1.10063i
\(599\) −17716.6 2670.34i −1.20848 0.182149i −0.486261 0.873814i \(-0.661639\pi\)
−0.722219 + 0.691665i \(0.756878\pi\)
\(600\) −6226.54 7807.83i −0.423662 0.531256i
\(601\) 9052.98 0.614441 0.307220 0.951638i \(-0.400601\pi\)
0.307220 + 0.951638i \(0.400601\pi\)
\(602\) 20607.1 12780.1i 1.39515 0.865245i
\(603\) −8608.51 −0.581370
\(604\) 1134.08 + 1422.09i 0.0763990 + 0.0958013i
\(605\) 10621.6 + 1600.94i 0.713765 + 0.107583i
\(606\) −2328.26 + 10200.8i −0.156071 + 0.683793i
\(607\) −10236.8 6979.30i −0.684509 0.466690i 0.170463 0.985364i \(-0.445474\pi\)
−0.854972 + 0.518674i \(0.826426\pi\)
\(608\) −2873.32 4976.73i −0.191658 0.331962i
\(609\) 594.543 1029.78i 0.0395601 0.0685201i
\(610\) 9601.65 4623.91i 0.637310 0.306912i
\(611\) 7531.49 + 2323.16i 0.498677 + 0.153821i
\(612\) 196.625 + 2623.78i 0.0129871 + 0.173301i
\(613\) −1014.62 4445.33i −0.0668516 0.292896i 0.930440 0.366444i \(-0.119425\pi\)
−0.997292 + 0.0735480i \(0.976568\pi\)
\(614\) 4055.08 10332.2i 0.266531 0.679109i
\(615\) 928.575 12391.0i 0.0608842 0.812443i
\(616\) 1907.69 287.537i 0.124777 0.0188072i
\(617\) −9538.77 8850.68i −0.622393 0.577496i 0.304644 0.952466i \(-0.401462\pi\)
−0.927037 + 0.374970i \(0.877653\pi\)
\(618\) −6095.58 2935.48i −0.396764 0.191071i
\(619\) −2084.13 + 1420.94i −0.135328 + 0.0922653i −0.629092 0.777331i \(-0.716573\pi\)
0.493764 + 0.869596i \(0.335621\pi\)
\(620\) −416.973 1062.43i −0.0270097 0.0688197i
\(621\) −3169.57 + 977.682i −0.204815 + 0.0631772i
\(622\) 2039.29 1892.18i 0.131460 0.121977i
\(623\) −10051.1 + 12603.7i −0.646372 + 0.810525i
\(624\) −14957.4 + 18755.9i −0.959573 + 1.20327i
\(625\) 3444.14 3195.70i 0.220425 0.204525i
\(626\) −7621.38 + 2350.88i −0.486600 + 0.150096i
\(627\) 641.007 + 1633.26i 0.0408283 + 0.104029i
\(628\) 955.938 651.748i 0.0607422 0.0414133i
\(629\) 25121.3 + 12097.8i 1.59245 + 0.766883i
\(630\) 11316.2 + 10499.9i 0.715633 + 0.664011i
\(631\) 9235.42 1392.02i 0.582657 0.0878213i 0.148901 0.988852i \(-0.452426\pi\)
0.433755 + 0.901031i \(0.357188\pi\)
\(632\) −26.4915 + 353.505i −0.00166737 + 0.0222495i
\(633\) −3159.70 + 8050.78i −0.198399 + 0.505513i
\(634\) 3777.76 + 16551.4i 0.236646 + 1.03682i
\(635\) −957.155 12772.4i −0.0598166 0.798197i
\(636\) −2827.77 872.252i −0.176303 0.0543821i
\(637\) −44128.2 + 21251.0i −2.74478 + 1.32181i
\(638\) 16.1725 28.0115i 0.00100356 0.00173822i
\(639\) −9639.53 16696.2i −0.596767 1.03363i
\(640\) −6849.04 4669.60i −0.423019 0.288409i
\(641\) 1119.93 4906.74i 0.0690088 0.302347i −0.928632 0.371003i \(-0.879014\pi\)
0.997640 + 0.0686558i \(0.0218710\pi\)
\(642\) 18583.2 + 2800.97i 1.14240 + 0.172189i
\(643\) 4699.73 + 5893.27i 0.288241 + 0.361443i 0.904778 0.425883i \(-0.140036\pi\)
−0.616537 + 0.787326i \(0.711465\pi\)
\(644\) −4008.50 −0.245275
\(645\) −15092.9 5380.96i −0.921369 0.328488i
\(646\) −25615.8 −1.56013
\(647\) 15009.9 + 18821.9i 0.912058 + 1.14368i 0.989187 + 0.146663i \(0.0468533\pi\)
−0.0771287 + 0.997021i \(0.524575\pi\)
\(648\) 19874.3 + 2995.56i 1.20484 + 0.181600i
\(649\) 10.4119 45.6176i 0.000629743 0.00275908i
\(650\) 8298.89 + 5658.08i 0.500783 + 0.341428i
\(651\) −13132.2 22745.7i −0.790619 1.36939i
\(652\) −1123.45 + 1945.88i −0.0674813 + 0.116881i
\(653\) 12214.9 5882.38i 0.732014 0.352519i −0.0304619 0.999536i \(-0.509698\pi\)
0.762476 + 0.647017i \(0.223984\pi\)
\(654\) −24368.8 7516.79i −1.45703 0.449434i
\(655\) 747.702 + 9977.38i 0.0446032 + 0.595189i
\(656\) 2554.83 + 11193.5i 0.152057 + 0.666206i
\(657\) −3739.16 + 9527.24i −0.222038 + 0.565743i
\(658\) −777.194 + 10370.9i −0.0460459 + 0.614439i
\(659\) 19233.1 2898.92i 1.13690 0.171360i 0.446495 0.894786i \(-0.352672\pi\)
0.690401 + 0.723427i \(0.257434\pi\)
\(660\) −125.702 116.635i −0.00741357 0.00687879i
\(661\) 6579.10 + 3168.33i 0.387137 + 0.186435i 0.617320 0.786712i \(-0.288218\pi\)
−0.230183 + 0.973147i \(0.573933\pi\)
\(662\) −24326.4 + 16585.5i −1.42821 + 0.973736i
\(663\) −15951.2 40643.0i −0.934380 2.38076i
\(664\) 16536.4 5100.81i 0.966473 0.298117i
\(665\) 20272.6 18810.3i 1.18216 1.09689i
\(666\) −10471.5 + 13130.8i −0.609250 + 0.763976i
\(667\) −311.517 + 390.631i −0.0180840 + 0.0226766i
\(668\) −753.075 + 698.752i −0.0436188 + 0.0404723i
\(669\) −22191.7 + 6845.22i −1.28248 + 0.395593i
\(670\) 2992.52 + 7624.80i 0.172554 + 0.439660i
\(671\) −1014.23 + 691.492i −0.0583517 + 0.0397835i
\(672\) 11644.7 + 5607.77i 0.668456 + 0.321911i
\(673\) −7514.50 6972.44i −0.430405 0.399358i 0.435000 0.900431i \(-0.356748\pi\)
−0.865405 + 0.501073i \(0.832939\pi\)
\(674\) 12108.0 1824.98i 0.691960 0.104296i
\(675\) 150.808 2012.39i 0.00859941 0.114751i
\(676\) −931.366 + 2373.08i −0.0529908 + 0.135018i
\(677\) 7048.52 + 30881.6i 0.400143 + 1.75314i 0.626815 + 0.779168i \(0.284358\pi\)
−0.226672 + 0.973971i \(0.572785\pi\)
\(678\) 2182.23 + 29119.8i 0.123610 + 1.64947i
\(679\) −12656.3 3903.94i −0.715320 0.220647i
\(680\) 16769.2 8075.62i 0.945690 0.455420i
\(681\) −8302.06 + 14379.6i −0.467160 + 0.809144i
\(682\) −357.217 618.718i −0.0200565 0.0347389i
\(683\) 8997.87 + 6134.65i 0.504091 + 0.343683i 0.788515 0.615015i \(-0.210850\pi\)
−0.284424 + 0.958698i \(0.591803\pi\)
\(684\) −631.784 + 2768.03i −0.0353170 + 0.154734i
\(685\) −16062.3 2421.00i −0.895926 0.135039i
\(686\) −21904.2 27467.0i −1.21911 1.52871i
\(687\) 8237.99 0.457495
\(688\) 14791.7 + 640.493i 0.819666 + 0.0354921i
\(689\) 22127.2 1.22348
\(690\) −8975.14 11254.5i −0.495185 0.620943i
\(691\) −705.525 106.341i −0.0388414 0.00585441i 0.129593 0.991567i \(-0.458633\pi\)
−0.168434 + 0.985713i \(0.553871\pi\)
\(692\) 939.969 4118.27i 0.0516362 0.226233i
\(693\) −1469.16 1001.65i −0.0805319 0.0549057i
\(694\) −7544.59 13067.6i −0.412664 0.714755i
\(695\) −8131.64 + 14084.4i −0.443814 + 0.768708i
\(696\) 778.045 374.687i 0.0423732 0.0204058i
\(697\) −19967.6 6159.18i −1.08512 0.334714i
\(698\) 977.438 + 13043.0i 0.0530037 + 0.707285i
\(699\) 8733.76 + 38265.1i 0.472591 + 2.07056i
\(700\) 890.990 2270.21i 0.0481089 0.122580i
\(701\) 866.004 11556.0i 0.0466598 0.622632i −0.924034 0.382311i \(-0.875128\pi\)
0.970694 0.240321i \(-0.0772526\pi\)
\(702\) −5701.60 + 859.378i −0.306543 + 0.0462039i
\(703\) 22055.7 + 20464.7i 1.18328 + 1.09793i
\(704\) 1235.30 + 594.888i 0.0661322 + 0.0318476i
\(705\) 5678.23 3871.35i 0.303340 0.206814i
\(706\) 53.0539 + 135.179i 0.00282820 + 0.00720614i
\(707\) −18152.3 + 5599.24i −0.965612 + 0.297852i
\(708\) 123.178 114.292i 0.00653858 0.00606691i
\(709\) 12302.2 15426.5i 0.651649 0.817142i −0.340756 0.940152i \(-0.610683\pi\)
0.992405 + 0.123010i \(0.0392546\pi\)
\(710\) −11437.3 + 14342.0i −0.604557 + 0.758091i
\(711\) 239.510 222.233i 0.0126334 0.0117221i
\(712\) −11187.4 + 3450.87i −0.588858 + 0.181639i
\(713\) 4031.88 + 10273.1i 0.211774 + 0.539592i
\(714\) 47601.2 32453.9i 2.49500 1.70106i
\(715\) 1155.22 + 556.325i 0.0604235 + 0.0290984i
\(716\) 3670.66 + 3405.88i 0.191591 + 0.177770i
\(717\) 1256.34 189.363i 0.0654377 0.00986314i
\(718\) 780.416 10413.9i 0.0405639 0.541288i
\(719\) −2419.23 + 6164.11i −0.125483 + 0.319725i −0.979786 0.200051i \(-0.935889\pi\)
0.854303 + 0.519776i \(0.173985\pi\)
\(720\) 2097.40 + 9189.30i 0.108563 + 0.475646i
\(721\) −917.926 12248.9i −0.0474138 0.632693i
\(722\) −9376.62 2892.30i −0.483326 0.149086i
\(723\) 36440.5 17548.8i 1.87446 0.902693i
\(724\) 533.341 923.773i 0.0273777 0.0474196i
\(725\) −151.990 263.255i −0.00778590 0.0134856i
\(726\) 19950.9 + 13602.3i 1.01990 + 0.695357i
\(727\) 3735.26 16365.2i 0.190554 0.834873i −0.785763 0.618528i \(-0.787729\pi\)
0.976317 0.216345i \(-0.0694136\pi\)
\(728\) −51226.2 7721.11i −2.60793 0.393082i
\(729\) −7533.08 9446.19i −0.382720 0.479916i
\(730\) 9738.36 0.493744
\(731\) −14470.0 + 22731.3i −0.732135 + 1.15013i
\(732\) −4408.29 −0.222589
\(733\) 3627.49 + 4548.72i 0.182789 + 0.229210i 0.864781 0.502150i \(-0.167457\pi\)
−0.681992 + 0.731360i \(0.738886\pi\)
\(734\) −8459.43 1275.05i −0.425400 0.0641187i
\(735\) −9503.15 + 41636.0i −0.476910 + 2.08948i
\(736\) −4487.06 3059.23i −0.224722 0.153213i
\(737\) −471.741 817.079i −0.0235778 0.0408379i
\(738\) 6293.28 10900.3i 0.313901 0.543693i
\(739\) 8012.35 3858.54i 0.398835 0.192069i −0.223705 0.974657i \(-0.571815\pi\)
0.622540 + 0.782588i \(0.286101\pi\)
\(740\) −2809.92 866.746i −0.139588 0.0430571i
\(741\) −3520.83 46982.3i −0.174549 2.32920i
\(742\) 6497.03 + 28465.4i 0.321447 + 1.40835i
\(743\) 4789.59 12203.7i 0.236491 0.602570i −0.762523 0.646961i \(-0.776039\pi\)
0.999014 + 0.0443909i \(0.0141347\pi\)
\(744\) 1425.43 19021.0i 0.0702403 0.937292i
\(745\) −26347.8 + 3971.29i −1.29572 + 0.195298i
\(746\) 5740.19 + 5326.12i 0.281720 + 0.261398i
\(747\) −14370.3 6920.36i −0.703857 0.338960i
\(748\) −238.262 + 162.444i −0.0116467 + 0.00794056i
\(749\) 12465.4 + 31761.2i 0.608110 + 1.54944i
\(750\) 26012.8 8023.88i 1.26647 0.390654i
\(751\) 25042.7 23236.2i 1.21681 1.12903i 0.228985 0.973430i \(-0.426459\pi\)
0.987820 0.155600i \(-0.0497312\pi\)
\(752\) −3959.19 + 4964.67i −0.191991 + 0.240749i
\(753\) −21311.5 + 26723.7i −1.03138 + 1.29332i
\(754\) −636.688 + 590.760i −0.0307517 + 0.0285334i
\(755\) −11332.2 + 3495.52i −0.546253 + 0.168497i
\(756\) 511.486 + 1303.24i 0.0246065 + 0.0626965i
\(757\) −11002.1 + 7501.08i −0.528239 + 0.360147i −0.797883 0.602813i \(-0.794047\pi\)
0.269644 + 0.962960i \(0.413094\pi\)
\(758\) −16934.3 8155.14i